100210220121101 has 12 divisors (see below), whose sum is σ = 106523179642260. Its totient is φ = 94252159380480.

The previous prime is 100210220121097. The next prime is 100210220121131. The reversal of 100210220121101 is 101121022012001.

It can be written as a sum of positive squares in 6 ways, for example, as 25046071206025 + 75164148915076 = 5004605^2 + 8669726^2 .

It is not a de Polignac number, because 100210220121101 - 2² = 100210220121097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210220121131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116006270 + ... + 116866911.

It is an arithmetic number, because the mean of its divisors is an integer number (8876931636855).

Almost surely, 2^{100210220121101} is an apocalyptic number.

It is an amenable number.

100210220121101 is a deficient number, since it is larger than the sum of its proper divisors (6312959521159).

100210220121101 is a wasteful number, since it uses less digits than its factorization.

100210220121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232874704 (or 232874687 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210220121101 its reverse (101121022012001), we get a palindrome (201331242133102).

The spelling of 100210220121101 in words is "one hundred trillion, two hundred ten billion, two hundred twenty million, one hundred twenty-one thousand, one hundred one".